Pith Number

pith:3FFDNTQC

pith:2012:3FFDNTQCKRG5D56QXWYWA3UOMP

not attested not anchored not stored refs pending

Absence of Energy Level Crossing for the Ground State Energy of the Rabi Model

Fumio Hiroshima, Masao Hirokawa

arxiv:1207.4020 v1 · 2012-07-17 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3FFDNTQCKRG5D56QXWYWA3UOMP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:50:49.229650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d94a36ce02544dd1f7d0bdb1606e8e63c52a70598d3eaf5db2ca6a58f988d8ed

Aliases

arxiv: 1207.4020 · arxiv_version: 1207.4020v1 · doi: 10.48550/arxiv.1207.4020 · pith_short_12: 3FFDNTQCKRG5 · pith_short_16: 3FFDNTQCKRG5D56Q · pith_short_8: 3FFDNTQC

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3FFDNTQCKRG5D56QXWYWA3UOMP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d94a36ce02544dd1f7d0bdb1606e8e63c52a70598d3eaf5db2ca6a58f988d8ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1af7fde18a7d7be8144a8c9208f766bdadc473fa8bf10dc869da24049e8b8506",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-17T15:00:08Z",
    "title_canon_sha256": "bde9c15e0b9abfa09940bffec9e20ee01ca7c633d57bc597cd4f9bff0bdd2044"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4020",
    "kind": "arxiv",
    "version": 1
  }
}